## Atomic Line Width

TK Solver Model for Atomic Line Width, including Doppler and collisional (pressure) broadening.

d = Doppler, c = collisional, line = Voigt

Variable sheet:

```---------------------------------------------------------------------------------------
St Input     Name    Output    Unit      Comment
324.7     Wo                nm        wavelength of line center
fo      92392.978 cm-1      frequency of line center
3000      T                 ¡K        Temperature
63.5      A                 amu       atomic weight of atom
28        M                 amu       molecular weight of collider
220       sigmaa            A2        cross section, defined as ¹r^2 (square A)
DLaDop  1.5973406 pm        Doppler width (wavelength)
DNuDop  4.54521E9 sec-1     Doppler width (frequency)
DLaVoi  2.231341  pm        Voigt width (wavelength)
a       .56700649           a parameter or damping factor
N       2.445E18  cm-3      number density of colliders  (cm-3)
1         P                 atm       Pressure of colliders
µ       19.431694 amu       Reduced mass of atom-collider pair
v       180792.48 cm/sec    Mean velocity of atom-collider pair
shift   2.21106E9 sec-1     red shift
---------------------------------------------------------------------------------------

Rule sheet.
---------------------------------------------------------------------------------------
c=3e10                                     "Speed of light, cm/sec
k=1.38E-16                                 "Boltsmann's constant, erg/K
R=83140000                                 "Gas constant, ergs/mol/K
DNuDop=(1/Wo)*Sqrt(ln(2))*Sqrt((8*R*T)/A)
Wo*fo=3E10
DNuColl=v*sigmaa*N/Pi()
DNuColl=3E10*DLaColl/(Wo*Wo)
N=.001*6.022e23*P/(T*0.0821)
a=DNuColl*Sqrt(ln(2))/DNuDop              "Definition of a parameter or damping factor
µ=1/(1/A+1/M)                             "Reduced mass of atom-collider pair, amu
v=Sqrt(8*R*T/(Pi()*µ))                    "mean velocity of atom-collider pair, cm/sec